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An extended large sieve for Maaß cusp forms

dc.contributor.advisorBlomer, Valentin Prof. Dr.
dc.contributor.authorHäußer, Christoph Renatus Ulrich
dc.date.accessioned2018-10-18T10:15:32Z
dc.date.available2018-10-18T10:15:32Z
dc.date.issued2018-10-18
dc.identifier.urihttp://hdl.handle.net/11858/00-1735-0000-002E-E4D6-3
dc.identifier.urihttp://dx.doi.org/10.53846/goediss-7101
dc.language.isoengde
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc510de
dc.titleAn extended large sieve for Maaß cusp formsde
dc.typedoctoralThesisde
dc.contributor.refereeBlomer, Valentin Prof. Dr.
dc.date.examination2018-08-29
dc.description.abstractengFor a certain big family of Maaß cusp forms, which in a way extends beyond the Hecke congruence subgroup, we establish a large sieve inequality. The set of functions under consideration is constructed by summing specific families of Maaß cusp forms for the Hecke congruence subgroup of odd prime level N with respect to Dirichlet characters of the modulus of the level. The result hinges on a suitable version of the Bruggeman- Kuznetsov formula, upon which we build our argument, proving in a first step an asymptotic formula for a weighted L^2 sum, featuring the Fourier coefficients of the functions from the family we consider. The inequality we finally conclude in the main theorem, describes an upper bound for this weighted L^2 sum, that in general does not meet the expectation from theoretical considerations of the large sieve.de
dc.contributor.coRefereeBrüdern, Jörg Prof. Dr.
dc.subject.englarge sievede
dc.subject.engMaaß cusp formsde
dc.subject.engnumber theoryde
dc.identifier.urnurn:nbn:de:gbv:7-11858/00-1735-0000-002E-E4D6-3-6
dc.affiliation.instituteFakultät für Mathematik und Informatikde
dc.subject.gokfullMathematik (PPN61756535X)de
dc.identifier.ppn103410361X


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